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Finding the Third Proportional to 137,625.61 and 302,315.20

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Solution

The third proportional to 137,625.61 and 302,315.20 is: 664,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,625.61 : 302,315.20 = 302,315.20 : x
  2. Step 2: Convert to fraction form
    137,625.61/302,315.20 = 302,315.20/x
  3. Step 3: Cross multiply
    137,625.61x = 302,315.20 × 302,315.20
  4. Step 4: Simplify right side
    137,625.61x = 91,394,482,040.51
  5. Step 5: Solve for x
    x = 91,394,482,040.51/137,625.61
  6. Step 6: Final answer
    x = 664,080.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.